4 citations · 7 across the 8 of their papers we have counts for
9 papers
A remark on the Castelnuovo-Mumford regularity of powers of ideal sheaves
Shijie Shang
We show that a bound of the Castelnuovo-Mumford regularity of any power of the ideal sheaf of a smooth projective complex variety is sharp exactly for comp…
Global well-posedness to stochastic reaction-diffusion equations on the real line with superlinear drifts driven by multiplicative space-time white noise
Shijie Shang, Tusheng Zhang
Consider the stochastic reaction-diffusion equation with logarithmic nonlinearity driven by space-time white noise: \begin{align}\label{1.a} \left\{ \begin{aligned} & \mathrm{d}u(t…
Stability of syzygy bundles on smooth projective varieties
Shijie Shang
We prove that the kernel bundle of the evaluation morphism of global sections, namely the syzygy bundle, of a sufficiently ample line bundle on a smooth projective variety is slope…
Stability of special generalized null correlation bundles on
Shijie Shang
In this paper, we study special generalized null correlation bundles on . We prove that special generalized null correlation bundles on are stable…
Transportation inequalities under uniform metric for a stochastic heat equation driven by time-white and space-colored noise
Shijie shang, Ran Wang
In this paper, we prove transportation inequalities on the space of continuous paths with respect to the uniform metric, for the law of solution to a stochastic heat equation defin…
Stochastic heat equations with logarithmic nonlinearity
Shijie Shang, Tusheng Zhang
In this paper, we establish the existence and uniqueness of solutions to stochastic heat equations with logarithmic nonlinearity driven by Brownian motion on a bounded domain i…